CBSE · Class 6-12

Topic

Algebra

From simple equations to polynomials, sequences, and inequalities.

26 units·6 classes covered·18 practice-ready

Why this matters

Algebra is the moment maths starts speaking for itself. One letter —

x

— can stand for ALL numbers, and suddenly you're solving a million problems in one line.

Every formula in physics, every model in economics, every line of code that says $\texttt{if (age > 18)}$ is algebra in disguise. If arithmetic is walking, algebra is riding a bicycle — same journey, ten times faster.

The story arc

Class 7Letter-numbers, arithmetic expressions.
Class 8Identities, factorisation, linear equations.
Class 9Polynomials and sequences make their entrance.
Class 10Quadratic equations — the biggest ROI chapter of your boards.
Class 11-12Complex numbers, binomial theorem, matrices and determinants.

Topic-wise practice paper

Mixed practice — all classes, one paper

15 hand-picked questions spanning every class where this topic appears. Auto-scores with hint ladder + AI Tutor when you're stuck.

Class 7

3 units

Arithmetic Expressions

Order of operations, brackets, and evaluating expressions.

Expressions using Letter-Numbers

Introduction to algebraic expressions and variables.

Finding the Unknown

Solving simple linear equations.

Class 8

3 units

Exponents, laws of exponents, negative and rational exponents.

We Distribute, Yet Things Multiply

Algebraic identities, expansion, and factorisation.

Linear equations, word problems, and applications.

Class 9

4 units

Introduction to Linear Polynomials

Polynomials — definition, types, evaluation, zeros.

Exploring Algebraic Identities

Key identities and their use in expansion & factorisation.

Predicting What Comes Next: Sequences and Progressions

Arithmetic and geometric progressions, general terms, sums.

Two Variables, One Line

Linear equations in two variables — infinite solutions, one straight-line graph.

Class 10

8 units · 2 tracks

Zeroes of a polynomial and their relationship with coefficients; division algorithm for polynomials.

Pair of Linear Equations in Two Variables

Graphical and algebraic methods (substitution, elimination) to solve two linear equations in two variables.

Quadratic Equations

Standard form, factorisation, completing the square, quadratic formula, nature of roots and word problems.

Arithmetic Progressions

Sequences where each term differs from the previous by a fixed common difference; formulas for the $n$-th term and sum of the first $n$ terms.

041 · Standard

Zeroes of a polynomial and their relationship with coefficients; division algorithm for polynomials.

041 · Standard

Pair of Linear Equations in Two Variables

Graphical and algebraic methods (substitution, elimination) to solve two linear equations in two variables.

041 · Standard

Quadratic Equations

Standard form, factorisation, completing the square, quadratic formula, nature of roots and word problems.

041 · Standard

Arithmetic Progressions

Sequences where each term differs from the previous by a fixed common difference; formulas for the $n$-th term and sum of the first $n$ terms.

Class 11

5 units

Complex Numbers and Quadratic Equations

Complex numbers, Argand plane, modulus, conjugate, and complex roots of quadratics.

Linear Inequalities

Solve linear inequalities in one variable algebraically and represent solutions on the number line.

Permutations and Combinations

Fundamental counting principle, permutations, combinations, and their applications.

Binomial Theorem

$(a + b)^n$ expansion for positive integer $n$ using binomial coefficients.

Sequences and Series

Arithmetic and geometric progressions, sum to $n$ terms, arithmetic and geometric means.

Class 12

3 units

Matrix operations, transpose, symmetric/skew-symmetric, elementary operations, and inverse.

Determinant of a square matrix, properties, minors and cofactors, adjoint, and application to solving systems.

Linear Programming

Formulation of LPPs, graphical method for two variables, feasible region, optimal value.